404448560 has 40 divisors (see below), whose sum is σ = 981231840. Its totient is φ = 154744832.

The previous prime is 404448553. The next prime is 404448607. The reversal of 404448560 is 65844404.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×404448560³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404448560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108065 + ... + 111744.

It is an arithmetic number, because the mean of its divisors is an integer number (24530796).

Almost surely, 2^404448560 is an apocalyptic number.

404448560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404448560 is an abundant number, since it is smaller than the sum of its proper divisors (576783280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404448560 is a wasteful number, since it uses less digits than its factorization.

404448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219845 (or 219839 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 404448560 is about 20110.9064937412. The cubic root of 404448560 is about 739.5276752155.

The spelling of 404448560 in words is "four hundred four million, four hundred forty-eight thousand, five hundred sixty".